Solve the system by row reduction and choose a matching solu

Solve the system by row reduction and choose a matching solution set from the given choices or choose \"inconsistent\" if there is no solution. [5 4 8 1 7 5 4 -4 9 6 0 -9][x y z] = [3 3 12 6] Select one: a. Inconsistent b. X = 0, y = 2, z = 1 c. X = 2-t, y = -2t, z = t d. x = -2-t, y = -1 + 2t, z = t e. X = 2 + t, y = -1 - 2t, z = t

Solution

Your matrix

Find the pivot in the 1st column and swap the 4th and the 1st rows

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by 21

Eliminate the 2nd column

solution

x = 2 + t

y = -1 - 2t

z = t

	X1	X2	X3	b
1	5	7	9	3
2	4	5	6	3
3	8	4	0	12
4	1	-4	-9	6